Boundary critical behaviour of two-dimensional random Ising models
Statistical Mechanics
2009-10-30 v1
Abstract
Using Monte Carlo techniques and a star-triangle transformation, Ising models with random, 'strong' and 'weak', nearest-neighbour ferromagnetic couplings on a square lattice with a (1,1) surface are studied near the phase transition. Both surface and bulk critical properties are investigated. In particular, the critical exponents of the surface magnetization, 'beta_1', of the correlation length, 'nu', and of the critical surface correlations, 'eta_{\parallel}', are analysed.
Cite
@article{arxiv.cond-mat/9711182,
title = {Boundary critical behaviour of two-dimensional random Ising models},
author = {F. Igloi and P. Lajko and W. Selke and F. Szalma},
journal= {arXiv preprint arXiv:cond-mat/9711182},
year = {2009}
}
Comments
16 pages in ioplppt style, 7 ps figures, submitted to J. Phys. A